Point Slope Form



Do Now

Write each equation in slope intercept form. y = mx + b Solve for y and state the slope and y intercept.
1) 2x + y = 3

2) 4x - y = 7

Graph the following lines by using the y intercept first and then the slope.
3) y = 2x + 2

4) y = (3/5)x -2



What is point slope form?

Point slope form is a way of writing a linear equation when you know a point on a line and how steep the line is.

For Students

Print the assignment before you begin.





Learning Objectives

  1. Write an equation in point slope form when given a point and the slope of a line.
  2. Find the slope of a line and write an equation in point slope form when given two points.
  3. Write an equation in slope intercept form when given two points.
  4. Graph lines using equations in point slope form.



Lesson Notes



Point Slope Form




y - y1 = m(x - x1)


This linear equation is best when you know both a point and a slope of a line . For example if:

Point

(4,3) and Slope

1/2, we write the equation like this

y - 3 = 1/2(x - 4)

The 4 and the 3 are from the point and the 1/2 is from the slope.

Things to remember about Point Slope Form.

  1. The letter m represents slope.
  2. The y1 and the x1 are the numbers from a point.
  3. The x and y are variables.




View Video

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Point Slope Form Video



PowerPoint

The following presentation provides examples of writing equations in point slope form.

Presentation on Point Slope
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Power Point

The following presentation gives examples of writing equations in slope intercept form given two points. In order to write an equation in slope intercept form with only two points you need to take the following steps:

  1. Find the slope. If you forgot how, look at your notes on slope.
  2. Write an equation in point slope form using the first of the two points
  3. Distribute the slope through the parenthesis.
  4. Get y by itself.

Change From Point Slope To Slope Intercept
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Play Point-Slope form Jeopardy


http://www.quia.com/cb/79602.html



Assignment

Now it's your turn. Click on the link below to view the assignment. This assignment can be edited and saved on your computer. To turn this assignment in each student is to do one of the following things.

  1. Save the edited version on your computer and email the file as an attachment to Mr. Clarke. Use the following link to email. troy.clarke@canyonsdistrict.org
  2. Print out a copy of the worksheet and hand in the completed assignment in class.

Point Slope Assignment




Quiz

Slope

Axis Intercepts



Slope Intercept Form



Point Slope Form



Standard Form



For Teachers


Point Slope Form Lesson Plan